Those who remain anxious or depressed after these 2 weeks will have the 3 options based on their choice: 1) treatment with fluoxetine daily for 8 weeks 2) cognitive-behavioral therapy or interpersonal therapy (two kinds of talk therapy) once a week for 8 weeks 3) a random assignment (50% chance) to either placebo or fluoxetine for 8 weeks. In addition, subjects also will be randomly and blindly assigned to receive either an active computer-based training task or an inactive computer-based training task, administered as part of the other,along with their medication or talk -therapy treatment. The active training is thought to help anxiety whereas the inactive training is thought to have no effect. The purpose of this part of the study is to understand the best way to help children and adolescents who are having problems with anxiety. However, more research is needed to find the best way to help such children and adolescents. During and after the 8 weeks of treatment, each participant will complete verbal and written symptom ratings. Blood samples will be drawn for laboratory tests before drug treatment and after it ends.